What is the Least Common Multiple of 86582 and 86588?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 86582 and 86588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86582 and 86588, than apply into the LCM equation.

GCF(86582,86588) = 2
LCM(86582,86588) = ( 86582 × 86588) / 2
LCM(86582,86588) = 7496962216 / 2
LCM(86582,86588) = 3748481108

Least Common Multiple (LCM) of 86582 and 86588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86582 and 86588. First we will calculate the prime factors of 86582 and 86588.

Prime Factorization of 86582

Prime Factorization of 86588

Now multiplying the highest exponent prime factors to calculate the LCM of 86582 and 86588.

LCM(86582,86588) = 2² × 43291¹ × 21647¹
LCM(86582,86588) = 3748481108